Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
312 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. C2×#11745184 | C2 | semidirect |
| 5. #14270932 | C2 | semidirect |
| 6. #14270928 | C2 | semidirect |
| 7. C2×C29×#103 | C2 | semidirect |
| 14. #11745304 | C4 | semidirect |
| 114. C2×#103 | D29 | semidirect |
| 144. C29 | #1908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745304 | 2 |
| C2×#11745263 | 2 |
| #14271162 | 2 |
| C2×#11745184 | 2 |
| #14270932 | 2 |
| #14270928 | 2 |
| C2×C29×#103 | 2 |
| #1908 | 29 |